#pragma GCC optimize("Ofast") #include using namespace std; #include using namespace atcoder; using mint=modint1000000007; ostream& operator<<(ostream &os,mint a){os< struct Matrix{ typedef vector vec; typedef vector mat; size_t r,c; mat M; Matrix(size_t r,size_t c):r(r),c(c),M(r,vec(c,K())){} Matrix(mat A):M(A){} vec& operator[](size_t k){return M[k];} const vec& operator[](size_t k)const{return M[k];} friend Matrix operator+(const Matrix &A,const Matrix &B){ assert(A.r==B.r&&A.c==B.c); Matrix res(A); REP_(i,A.r)REP_(j,A.c)res[i][j]+=B[i][j]; return res; } void operator+=(const Matrix &B){ assert(r==B.r&&c==B.c); REP_(i,r)REP_(j,c)M[i][j]+=B[i][j]; } friend Matrix operator*(const Matrix &A,const Matrix &B){ assert(A.c==B.r); Matrix res(A.r,B.c); REP_(i,A.r)REP_(k,A.c)REP_(j,B.c)res[i][j]+=A[i][k]*B[k][j]; return res; } void operator*=(const Matrix &B){ M(M*B); } static Matrix I(size_t n){ Matrix res(n,n); REP_(i,n)res[i][i]=K(1); return res; } Matrix pow(long long n)const{ assert(n>=0&&r==c); Matrix A(M),res=I(r); while(n){ if(n&1)res*=A; A*=A; n>>=1; } return res; } int rank() const{ Matrix A(M); int res=0; for(int k=0;k(a,b)(rnd); int main(){ ios::sync_with_stdio(false); cin.tie(nullptr); int n,m;cin>>n>>m; Matrix M(n,n); REP(_,m){ int u,v,w;cin>>u>>v>>w;u--;v--;w--; mint a=RND(1,1000000006); M[u][v]+=a;M[v][w]+=a;M[w][u]+=a; M[v][u]-=a;M[w][v]-=a;M[u][w]-=a; } cout<<(M.rank()>>1)<